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Finding the Fourth Proportional to 373.76, 558.49 and 285.42

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Solution

The fourth proportional to 373.76, 558.49 and 285.42 is: 426.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.76 : 558.49 = 285.42 : x
  2. Step 2: Convert to fraction form
    373.76/558.49 = 285.42/x
  3. Step 3: Cross multiply
    373.76x = 558.49 × 285.42
  4. Step 4: Simplify right side
    373.76x = 159,404.22
  5. Step 5: Solve for x
    x = 159,404.22/373.76
  6. Step 6: Final answer
    x = 426.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.