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Finding the Fourth Proportional to 438.72, 657.12 and 310.08

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Solution

The fourth proportional to 438.72, 657.12 and 310.08 is: 464.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.72 : 657.12 = 310.08 : x
  2. Step 2: Convert to fraction form
    438.72/657.12 = 310.08/x
  3. Step 3: Cross multiply
    438.72x = 657.12 × 310.08
  4. Step 4: Simplify right side
    438.72x = 203,759.77
  5. Step 5: Solve for x
    x = 203,759.77/438.72
  6. Step 6: Final answer
    x = 464.44

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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.