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Finding the Fourth Proportional to 311.52, 465.04 and 288.72

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Solution

The fourth proportional to 311.52, 465.04 and 288.72 is: 431.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.52 : 465.04 = 288.72 : x
  2. Step 2: Convert to fraction form
    311.52/465.04 = 288.72/x
  3. Step 3: Cross multiply
    311.52x = 465.04 × 288.72
  4. Step 4: Simplify right side
    311.52x = 134,266.35
  5. Step 5: Solve for x
    x = 134,266.35/311.52
  6. Step 6: Final answer
    x = 431.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.