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Finding the Fourth Proportional to 330.57, 498.36 and 312.93

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Solution

The fourth proportional to 330.57, 498.36 and 312.93 is: 471.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.57 : 498.36 = 312.93 : x
  2. Step 2: Convert to fraction form
    330.57/498.36 = 312.93/x
  3. Step 3: Cross multiply
    330.57x = 498.36 × 312.93
  4. Step 4: Simplify right side
    330.57x = 155,951.79
  5. Step 5: Solve for x
    x = 155,951.79/330.57
  6. Step 6: Final answer
    x = 471.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.