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Finding the Fourth Proportional to 345.60, 519.48 and 314.28

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Solution

The fourth proportional to 345.60, 519.48 and 314.28 is: 472.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.60 : 519.48 = 314.28 : x
  2. Step 2: Convert to fraction form
    345.60/519.48 = 314.28/x
  3. Step 3: Cross multiply
    345.60x = 519.48 × 314.28
  4. Step 4: Simplify right side
    345.60x = 163,262.17
  5. Step 5: Solve for x
    x = 163,262.17/345.60
  6. Step 6: Final answer
    x = 472.40

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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.