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Finding the Fourth Proportional to 473.42, 653.14 and 349.38

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Solution

The fourth proportional to 473.42, 653.14 and 349.38 is: 482.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.42 : 653.14 = 349.38 : x
  2. Step 2: Convert to fraction form
    473.42/653.14 = 349.38/x
  3. Step 3: Cross multiply
    473.42x = 653.14 × 349.38
  4. Step 4: Simplify right side
    473.42x = 228,189.04
  5. Step 5: Solve for x
    x = 228,189.04/473.42
  6. Step 6: Final answer
    x = 482.00

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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.