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Finding the Fourth Proportional to 307.80, 424.98 and 264.60

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Solution

The fourth proportional to 307.80, 424.98 and 264.60 is: 365.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.80 : 424.98 = 264.60 : x
  2. Step 2: Convert to fraction form
    307.80/424.98 = 264.60/x
  3. Step 3: Cross multiply
    307.80x = 424.98 × 264.60
  4. Step 4: Simplify right side
    307.80x = 112,449.71
  5. Step 5: Solve for x
    x = 112,449.71/307.80
  6. Step 6: Final answer
    x = 365.33

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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.