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Finding the Fourth Proportional to 460.29, 690.20 and 152.11

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Solution

The fourth proportional to 460.29, 690.20 and 152.11 is: 228.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.29 : 690.20 = 152.11 : x
  2. Step 2: Convert to fraction form
    460.29/690.20 = 152.11/x
  3. Step 3: Cross multiply
    460.29x = 690.20 × 152.11
  4. Step 4: Simplify right side
    460.29x = 104,982.11
  5. Step 5: Solve for x
    x = 104,982.11/460.29
  6. Step 6: Final answer
    x = 228.08

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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.