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Finding the Fourth Proportional to 472.64, 652.08 and 298.08

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Solution

The fourth proportional to 472.64, 652.08 and 298.08 is: 411.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.64 : 652.08 = 298.08 : x
  2. Step 2: Convert to fraction form
    472.64/652.08 = 298.08/x
  3. Step 3: Cross multiply
    472.64x = 652.08 × 298.08
  4. Step 4: Simplify right side
    472.64x = 194,372.01
  5. Step 5: Solve for x
    x = 194,372.01/472.64
  6. Step 6: Final answer
    x = 411.25

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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.