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Finding the Fourth Proportional to 415.40, 571.30 and 332.38

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Solution

The fourth proportional to 415.40, 571.30 and 332.38 is: 457.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.40 : 571.30 = 332.38 : x
  2. Step 2: Convert to fraction form
    415.40/571.30 = 332.38/x
  3. Step 3: Cross multiply
    415.40x = 571.30 × 332.38
  4. Step 4: Simplify right side
    415.40x = 189,888.84
  5. Step 5: Solve for x
    x = 189,888.84/415.40
  6. Step 6: Final answer
    x = 457.12

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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.