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Finding the Fourth Proportional to 425.30, 586.92 and 285.20

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Solution

The fourth proportional to 425.30, 586.92 and 285.20 is: 393.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.30 : 586.92 = 285.20 : x
  2. Step 2: Convert to fraction form
    425.30/586.92 = 285.20/x
  3. Step 3: Cross multiply
    425.30x = 586.92 × 285.20
  4. Step 4: Simplify right side
    425.30x = 167,389.58
  5. Step 5: Solve for x
    x = 167,389.58/425.30
  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.