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Finding the Fourth Proportional to 460.29, 690.62 and 229.40

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Solution

The fourth proportional to 460.29, 690.62 and 229.40 is: 344.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.29 : 690.62 = 229.40 : x
  2. Step 2: Convert to fraction form
    460.29/690.62 = 229.40/x
  3. Step 3: Cross multiply
    460.29x = 690.62 × 229.40
  4. Step 4: Simplify right side
    460.29x = 158,428.23
  5. Step 5: Solve for x
    x = 158,428.23/460.29
  6. Step 6: Final answer
    x = 344.19

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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.