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Finding the Fourth Proportional to 342.39, 472.65 and 259.53

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Solution

The fourth proportional to 342.39, 472.65 and 259.53 is: 358.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.39 : 472.65 = 259.53 : x
  2. Step 2: Convert to fraction form
    342.39/472.65 = 259.53/x
  3. Step 3: Cross multiply
    342.39x = 472.65 × 259.53
  4. Step 4: Simplify right side
    342.39x = 122,666.85
  5. Step 5: Solve for x
    x = 122,666.85/342.39
  6. Step 6: Final answer
    x = 358.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.