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Finding the Fourth Proportional to 307.24, 424.00 and 176.25

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Solution

The fourth proportional to 307.24, 424.00 and 176.25 is: 243.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.24 : 424.00 = 176.25 : x
  2. Step 2: Convert to fraction form
    307.24/424.00 = 176.25/x
  3. Step 3: Cross multiply
    307.24x = 424.00 × 176.25
  4. Step 4: Simplify right side
    307.24x = 74,729.89
  5. Step 5: Solve for x
    x = 74,729.89/307.24
  6. Step 6: Final answer
    x = 243.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.