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Finding the Fourth Proportional to 470.24, 706.18 and 307.84

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Solution

The fourth proportional to 470.24, 706.18 and 307.84 is: 462.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.24 : 706.18 = 307.84 : x
  2. Step 2: Convert to fraction form
    470.24/706.18 = 307.84/x
  3. Step 3: Cross multiply
    470.24x = 706.18 × 307.84
  4. Step 4: Simplify right side
    470.24x = 217,390.45
  5. Step 5: Solve for x
    x = 217,390.45/470.24
  6. Step 6: Final answer
    x = 462.30

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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.