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Finding the Fourth Proportional to 311.60, 465.14 and 289.08

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Solution

The fourth proportional to 311.60, 465.14 and 289.08 is: 431.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.60 : 465.14 = 289.08 : x
  2. Step 2: Convert to fraction form
    311.60/465.14 = 289.08/x
  3. Step 3: Cross multiply
    311.60x = 465.14 × 289.08
  4. Step 4: Simplify right side
    311.60x = 134,462.67
  5. Step 5: Solve for x
    x = 134,462.67/311.60
  6. Step 6: Final answer
    x = 431.52

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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.