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Finding the Fourth Proportional to 429.68, 645.35 and 368.12

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Solution

The fourth proportional to 429.68, 645.35 and 368.12 is: 552.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.68 : 645.35 = 368.12 : x
  2. Step 2: Convert to fraction form
    429.68/645.35 = 368.12/x
  3. Step 3: Cross multiply
    429.68x = 645.35 × 368.12
  4. Step 4: Simplify right side
    429.68x = 237,566.24
  5. Step 5: Solve for x
    x = 237,566.24/429.68
  6. Step 6: Final answer
    x = 552.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.