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Finding the Fourth Proportional to 345.88, 470.92 and 344.80

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Solution

The fourth proportional to 345.88, 470.92 and 344.80 is: 469.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.88 : 470.92 = 344.80 : x
  2. Step 2: Convert to fraction form
    345.88/470.92 = 344.80/x
  3. Step 3: Cross multiply
    345.88x = 470.92 × 344.80
  4. Step 4: Simplify right side
    345.88x = 162,373.22
  5. Step 5: Solve for x
    x = 162,373.22/345.88
  6. Step 6: Final answer
    x = 469.45

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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.