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Finding the Fourth Proportional to 347.13, 472.62 and 346.05

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Solution

The fourth proportional to 347.13, 472.62 and 346.05 is: 471.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.13 : 472.62 = 346.05 : x
  2. Step 2: Convert to fraction form
    347.13/472.62 = 346.05/x
  3. Step 3: Cross multiply
    347.13x = 472.62 × 346.05
  4. Step 4: Simplify right side
    347.13x = 163,550.15
  5. Step 5: Solve for x
    x = 163,550.15/347.13
  6. Step 6: Final answer
    x = 471.15

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.