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Finding the Fourth Proportional to 345.72, 519.24 and 277.68

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Solution

The fourth proportional to 345.72, 519.24 and 277.68 is: 417.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.72 : 519.24 = 277.68 : x
  2. Step 2: Convert to fraction form
    345.72/519.24 = 277.68/x
  3. Step 3: Cross multiply
    345.72x = 519.24 × 277.68
  4. Step 4: Simplify right side
    345.72x = 144,182.56
  5. Step 5: Solve for x
    x = 144,182.56/345.72
  6. Step 6: Final answer
    x = 417.05

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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.