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Finding the Fourth Proportional to 415.92, 573.60 and 284.76

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Solution

The fourth proportional to 415.92, 573.60 and 284.76 is: 392.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.92 : 573.60 = 284.76 : x
  2. Step 2: Convert to fraction form
    415.92/573.60 = 284.76/x
  3. Step 3: Cross multiply
    415.92x = 573.60 × 284.76
  4. Step 4: Simplify right side
    415.92x = 163,338.34
  5. Step 5: Solve for x
    x = 163,338.34/415.92
  6. Step 6: Final answer
    x = 392.72

Related Problems

Find fourth proportional to 207.96, 286.80 and 142.38
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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.