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Finding the Fourth Proportional to 330.53, 493.35 and 310.01

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Solution

The fourth proportional to 330.53, 493.35 and 310.01 is: 462.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.53 : 493.35 = 310.01 : x
  2. Step 2: Convert to fraction form
    330.53/493.35 = 310.01/x
  3. Step 3: Cross multiply
    330.53x = 493.35 × 310.01
  4. Step 4: Simplify right side
    330.53x = 152,939.80
  5. Step 5: Solve for x
    x = 152,939.80/330.53
  6. Step 6: Final answer
    x = 462.72

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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.