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Finding the Fourth Proportional to 345.74, 473.38 and 344.52

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Solution

The fourth proportional to 345.74, 473.38 and 344.52 is: 471.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.74 : 473.38 = 344.52 : x
  2. Step 2: Convert to fraction form
    345.74/473.38 = 344.52/x
  3. Step 3: Cross multiply
    345.74x = 473.38 × 344.52
  4. Step 4: Simplify right side
    345.74x = 163,088.02
  5. Step 5: Solve for x
    x = 163,088.02/345.74
  6. Step 6: Final answer
    x = 471.71

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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.