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Finding the Fourth Proportional to 333.40, 502.33 and 307.16

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Solution

The fourth proportional to 333.40, 502.33 and 307.16 is: 462.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.40 : 502.33 = 307.16 : x
  2. Step 2: Convert to fraction form
    333.40/502.33 = 307.16/x
  3. Step 3: Cross multiply
    333.40x = 502.33 × 307.16
  4. Step 4: Simplify right side
    333.40x = 154,295.68
  5. Step 5: Solve for x
    x = 154,295.68/333.40
  6. Step 6: Final answer
    x = 462.79

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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.