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Finding the Fourth Proportional to 307.03, 460.20 and 153.07

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Solution

The fourth proportional to 307.03, 460.20 and 153.07 is: 229.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.03 : 460.20 = 153.07 : x
  2. Step 2: Convert to fraction form
    307.03/460.20 = 153.07/x
  3. Step 3: Cross multiply
    307.03x = 460.20 × 153.07
  4. Step 4: Simplify right side
    307.03x = 70,442.81
  5. Step 5: Solve for x
    x = 70,442.81/307.03
  6. Step 6: Final answer
    x = 229.43

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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.