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Finding the Fourth Proportional to 345.48, 476.04 and 308.56

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Solution

The fourth proportional to 345.48, 476.04 and 308.56 is: 425.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.48 : 476.04 = 308.56 : x
  2. Step 2: Convert to fraction form
    345.48/476.04 = 308.56/x
  3. Step 3: Cross multiply
    345.48x = 476.04 × 308.56
  4. Step 4: Simplify right side
    345.48x = 146,886.90
  5. Step 5: Solve for x
    x = 146,886.90/345.48
  6. Step 6: Final answer
    x = 425.17

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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.