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Finding the Fourth Proportional to 415.01, 571.08 and 384.02

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Solution

The fourth proportional to 415.01, 571.08 and 384.02 is: 528.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.01 : 571.08 = 384.02 : x
  2. Step 2: Convert to fraction form
    415.01/571.08 = 384.02/x
  3. Step 3: Cross multiply
    415.01x = 571.08 × 384.02
  4. Step 4: Simplify right side
    415.01x = 219,306.14
  5. Step 5: Solve for x
    x = 219,306.14/415.01
  6. Step 6: Final answer
    x = 528.44

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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.