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Finding the Fourth Proportional to 415.40, 572.65 and 290.67

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Solution

The fourth proportional to 415.40, 572.65 and 290.67 is: 400.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.40 : 572.65 = 290.67 : x
  2. Step 2: Convert to fraction form
    415.40/572.65 = 290.67/x
  3. Step 3: Cross multiply
    415.40x = 572.65 × 290.67
  4. Step 4: Simplify right side
    415.40x = 166,452.18
  5. Step 5: Solve for x
    x = 166,452.18/415.40
  6. Step 6: Final answer
    x = 400.70

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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.