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Finding the Fourth Proportional to 265.80, 365.15 and 216.54

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Solution

The fourth proportional to 265.80, 365.15 and 216.54 is: 297.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.80 : 365.15 = 216.54 : x
  2. Step 2: Convert to fraction form
    265.80/365.15 = 216.54/x
  3. Step 3: Cross multiply
    265.80x = 365.15 × 216.54
  4. Step 4: Simplify right side
    265.80x = 79,068.50
  5. Step 5: Solve for x
    x = 79,068.50/265.80
  6. Step 6: Final answer
    x = 297.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.