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Finding the Fourth Proportional to 347.60, 476.50 and 342.20

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Solution

The fourth proportional to 347.60, 476.50 and 342.20 is: 469.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.60 : 476.50 = 342.20 : x
  2. Step 2: Convert to fraction form
    347.60/476.50 = 342.20/x
  3. Step 3: Cross multiply
    347.60x = 476.50 × 342.20
  4. Step 4: Simplify right side
    347.60x = 163,058.30
  5. Step 5: Solve for x
    x = 163,058.30/347.60
  6. Step 6: Final answer
    x = 469.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.