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Finding the Fourth Proportional to 307.43, 461.15 and 153.55

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Solution

The fourth proportional to 307.43, 461.15 and 153.55 is: 230.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.43 : 461.15 = 153.55 : x
  2. Step 2: Convert to fraction form
    307.43/461.15 = 153.55/x
  3. Step 3: Cross multiply
    307.43x = 461.15 × 153.55
  4. Step 4: Simplify right side
    307.43x = 70,806.51
  5. Step 5: Solve for x
    x = 70,806.51/307.43
  6. Step 6: Final answer
    x = 230.32

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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.