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Finding the Fourth Proportional to 333.07, 502.10 and 310.77

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Solution

The fourth proportional to 333.07, 502.10 and 310.77 is: 468.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.07 : 502.10 = 310.77 : x
  2. Step 2: Convert to fraction form
    333.07/502.10 = 310.77/x
  3. Step 3: Cross multiply
    333.07x = 502.10 × 310.77
  4. Step 4: Simplify right side
    333.07x = 156,034.18
  5. Step 5: Solve for x
    x = 156,034.18/333.07
  6. Step 6: Final answer
    x = 468.48

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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.