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Finding the Fourth Proportional to 270.48, 373.14 and 172.26

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Solution

The fourth proportional to 270.48, 373.14 and 172.26 is: 237.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.48 : 373.14 = 172.26 : x
  2. Step 2: Convert to fraction form
    270.48/373.14 = 172.26/x
  3. Step 3: Cross multiply
    270.48x = 373.14 × 172.26
  4. Step 4: Simplify right side
    270.48x = 64,277.10
  5. Step 5: Solve for x
    x = 64,277.10/270.48
  6. Step 6: Final answer
    x = 237.64

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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.