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Finding the Fourth Proportional to 347.84, 524.15 and 288.29

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Solution

The fourth proportional to 347.84, 524.15 and 288.29 is: 434.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.84 : 524.15 = 288.29 : x
  2. Step 2: Convert to fraction form
    347.84/524.15 = 288.29/x
  3. Step 3: Cross multiply
    347.84x = 524.15 × 288.29
  4. Step 4: Simplify right side
    347.84x = 151,107.20
  5. Step 5: Solve for x
    x = 151,107.20/347.84
  6. Step 6: Final answer
    x = 434.42

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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.