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Finding the Fourth Proportional to 473.76, 653.16 and 342.48

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Solution

The fourth proportional to 473.76, 653.16 and 342.48 is: 472.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.76 : 653.16 = 342.48 : x
  2. Step 2: Convert to fraction form
    473.76/653.16 = 342.48/x
  3. Step 3: Cross multiply
    473.76x = 653.16 × 342.48
  4. Step 4: Simplify right side
    473.76x = 223,694.24
  5. Step 5: Solve for x
    x = 223,694.24/473.76
  6. Step 6: Final answer
    x = 472.17

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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.