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Finding the Fourth Proportional to 460.65, 690.78 and 229.45

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Solution

The fourth proportional to 460.65, 690.78 and 229.45 is: 344.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.65 : 690.78 = 229.45 : x
  2. Step 2: Convert to fraction form
    460.65/690.78 = 229.45/x
  3. Step 3: Cross multiply
    460.65x = 690.78 × 229.45
  4. Step 4: Simplify right side
    460.65x = 158,499.47
  5. Step 5: Solve for x
    x = 158,499.47/460.65
  6. Step 6: Final answer
    x = 344.08

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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.