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Finding the Fourth Proportional to 347.61, 520.32 and 277.84

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Solution

The fourth proportional to 347.61, 520.32 and 277.84 is: 415.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.61 : 520.32 = 277.84 : x
  2. Step 2: Convert to fraction form
    347.61/520.32 = 277.84/x
  3. Step 3: Cross multiply
    347.61x = 520.32 × 277.84
  4. Step 4: Simplify right side
    347.61x = 144,565.71
  5. Step 5: Solve for x
    x = 144,565.71/347.61
  6. Step 6: Final answer
    x = 415.88

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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.