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Finding the Fourth Proportional to 472.84, 652.49 and 342.16

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Solution

The fourth proportional to 472.84, 652.49 and 342.16 is: 472.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.84 : 652.49 = 342.16 : x
  2. Step 2: Convert to fraction form
    472.84/652.49 = 342.16/x
  3. Step 3: Cross multiply
    472.84x = 652.49 × 342.16
  4. Step 4: Simplify right side
    472.84x = 223,253.92
  5. Step 5: Solve for x
    x = 223,253.92/472.84
  6. Step 6: Final answer
    x = 472.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.