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Finding the Fourth Proportional to 438.79, 656.66 and 265.35

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Solution

The fourth proportional to 438.79, 656.66 and 265.35 is: 397.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.79 : 656.66 = 265.35 : x
  2. Step 2: Convert to fraction form
    438.79/656.66 = 265.35/x
  3. Step 3: Cross multiply
    438.79x = 656.66 × 265.35
  4. Step 4: Simplify right side
    438.79x = 174,244.73
  5. Step 5: Solve for x
    x = 174,244.73/438.79
  6. Step 6: Final answer
    x = 397.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.