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Finding the Fourth Proportional to 265.34, 365.78 and 172.08

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Solution

The fourth proportional to 265.34, 365.78 and 172.08 is: 237.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.34 : 365.78 = 172.08 : x
  2. Step 2: Convert to fraction form
    265.34/365.78 = 172.08/x
  3. Step 3: Cross multiply
    265.34x = 365.78 × 172.08
  4. Step 4: Simplify right side
    265.34x = 62,943.85
  5. Step 5: Solve for x
    x = 62,943.85/265.34
  6. Step 6: Final answer
    x = 237.22

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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.