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Finding the Fourth Proportional to 345.60, 520.56 and 313.92

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Solution

The fourth proportional to 345.60, 520.56 and 313.92 is: 472.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.60 : 520.56 = 313.92 : x
  2. Step 2: Convert to fraction form
    345.60/520.56 = 313.92/x
  3. Step 3: Cross multiply
    345.60x = 520.56 × 313.92
  4. Step 4: Simplify right side
    345.60x = 163,414.20
  5. Step 5: Solve for x
    x = 163,414.20/345.60
  6. Step 6: Final answer
    x = 472.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.