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Finding the Fourth Proportional to 333.66, 502.35 and 260.93

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Solution

The fourth proportional to 333.66, 502.35 and 260.93 is: 392.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.66 : 502.35 = 260.93 : x
  2. Step 2: Convert to fraction form
    333.66/502.35 = 260.93/x
  3. Step 3: Cross multiply
    333.66x = 502.35 × 260.93
  4. Step 4: Simplify right side
    333.66x = 131,078.46
  5. Step 5: Solve for x
    x = 131,078.46/333.66
  6. Step 6: Final answer
    x = 392.85

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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.