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Finding the Fourth Proportional to 312.66, 466.16 and 285.02

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Solution

The fourth proportional to 312.66, 466.16 and 285.02 is: 424.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.66 : 466.16 = 285.02 : x
  2. Step 2: Convert to fraction form
    312.66/466.16 = 285.02/x
  3. Step 3: Cross multiply
    312.66x = 466.16 × 285.02
  4. Step 4: Simplify right side
    312.66x = 132,862.92
  5. Step 5: Solve for x
    x = 132,862.92/312.66
  6. Step 6: Final answer
    x = 424.94

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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.