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Finding the Fourth Proportional to 345.52, 476.58 and 293.41

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Solution

The fourth proportional to 345.52, 476.58 and 293.41 is: 404.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.52 : 476.58 = 293.41 : x
  2. Step 2: Convert to fraction form
    345.52/476.58 = 293.41/x
  3. Step 3: Cross multiply
    345.52x = 476.58 × 293.41
  4. Step 4: Simplify right side
    345.52x = 139,833.34
  5. Step 5: Solve for x
    x = 139,833.34/345.52
  6. Step 6: Final answer
    x = 404.70

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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.