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Finding the Fourth Proportional to 415.88, 574.16 and 285.08

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Solution

The fourth proportional to 415.88, 574.16 and 285.08 is: 393.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.88 : 574.16 = 285.08 : x
  2. Step 2: Convert to fraction form
    415.88/574.16 = 285.08/x
  3. Step 3: Cross multiply
    415.88x = 574.16 × 285.08
  4. Step 4: Simplify right side
    415.88x = 163,681.53
  5. Step 5: Solve for x
    x = 163,681.53/415.88
  6. Step 6: Final answer
    x = 393.58

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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.