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Finding the Fourth Proportional to 345.60, 517.79 and 307.93

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Solution

The fourth proportional to 345.60, 517.79 and 307.93 is: 461.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.60 : 517.79 = 307.93 : x
  2. Step 2: Convert to fraction form
    345.60/517.79 = 307.93/x
  3. Step 3: Cross multiply
    345.60x = 517.79 × 307.93
  4. Step 4: Simplify right side
    345.60x = 159,441.54
  5. Step 5: Solve for x
    x = 159,441.54/345.60
  6. Step 6: Final answer
    x = 461.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.