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Finding the Fourth Proportional to 307.17, 460.17 and 152.87

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Solution

The fourth proportional to 307.17, 460.17 and 152.87 is: 229.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.17 : 460.17 = 152.87 : x
  2. Step 2: Convert to fraction form
    307.17/460.17 = 152.87/x
  3. Step 3: Cross multiply
    307.17x = 460.17 × 152.87
  4. Step 4: Simplify right side
    307.17x = 70,343.89
  5. Step 5: Solve for x
    x = 70,343.89/307.17
  6. Step 6: Final answer
    x = 229.01

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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.