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Finding the Fourth Proportional to 458.12, 633.04 and 347.40

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Solution

The fourth proportional to 458.12, 633.04 and 347.40 is: 480.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.12 : 633.04 = 347.40 : x
  2. Step 2: Convert to fraction form
    458.12/633.04 = 347.40/x
  3. Step 3: Cross multiply
    458.12x = 633.04 × 347.40
  4. Step 4: Simplify right side
    458.12x = 219,918.10
  5. Step 5: Solve for x
    x = 219,918.10/458.12
  6. Step 6: Final answer
    x = 480.04

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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.