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Finding the Fourth Proportional to 429, 592.08 and 312.72

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Solution

The fourth proportional to 429, 592.08 and 312.72 is: 431.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    429 : 592.08 = 312.72 : x
  2. Step 2: Convert to fraction form
    429/592.08 = 312.72/x
  3. Step 3: Cross multiply
    429x = 592.08 × 312.72
  4. Step 4: Simplify right side
    429x = 185,155.26
  5. Step 5: Solve for x
    x = 185,155.26/429
  6. Step 6: Final answer
    x = 431.60

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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.