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Finding the Fourth Proportional to 307.84, 461.72 and 153.86

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Solution

The fourth proportional to 307.84, 461.72 and 153.86 is: 230.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.84 : 461.72 = 153.86 : x
  2. Step 2: Convert to fraction form
    307.84/461.72 = 153.86/x
  3. Step 3: Cross multiply
    307.84x = 461.72 × 153.86
  4. Step 4: Simplify right side
    307.84x = 71,040.24
  5. Step 5: Solve for x
    x = 71,040.24/307.84
  6. Step 6: Final answer
    x = 230.77

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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.