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Finding the Fourth Proportional to 473.58, 653.58 and 296.55

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Solution

The fourth proportional to 473.58, 653.58 and 296.55 is: 409.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.58 : 653.58 = 296.55 : x
  2. Step 2: Convert to fraction form
    473.58/653.58 = 296.55/x
  3. Step 3: Cross multiply
    473.58x = 653.58 × 296.55
  4. Step 4: Simplify right side
    473.58x = 193,819.15
  5. Step 5: Solve for x
    x = 193,819.15/473.58
  6. Step 6: Final answer
    x = 409.26

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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.