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Finding the Fourth Proportional to 285.04, 424.85 and 266.68

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Solution

The fourth proportional to 285.04, 424.85 and 266.68 is: 397.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.04 : 424.85 = 266.68 : x
  2. Step 2: Convert to fraction form
    285.04/424.85 = 266.68/x
  3. Step 3: Cross multiply
    285.04x = 424.85 × 266.68
  4. Step 4: Simplify right side
    285.04x = 113,299.00
  5. Step 5: Solve for x
    x = 113,299.00/285.04
  6. Step 6: Final answer
    x = 397.48

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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.