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Finding the Fourth Proportional to 347.84, 482.24 and 342.40

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Solution

The fourth proportional to 347.84, 482.24 and 342.40 is: 474.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.84 : 482.24 = 342.40 : x
  2. Step 2: Convert to fraction form
    347.84/482.24 = 342.40/x
  3. Step 3: Cross multiply
    347.84x = 482.24 × 342.40
  4. Step 4: Simplify right side
    347.84x = 165,118.98
  5. Step 5: Solve for x
    x = 165,118.98/347.84
  6. Step 6: Final answer
    x = 474.70

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.