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Finding the Fourth Proportional to 270.02, 404.10 and 172.47

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Solution

The fourth proportional to 270.02, 404.10 and 172.47 is: 258.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.02 : 404.10 = 172.47 : x
  2. Step 2: Convert to fraction form
    270.02/404.10 = 172.47/x
  3. Step 3: Cross multiply
    270.02x = 404.10 × 172.47
  4. Step 4: Simplify right side
    270.02x = 69,695.13
  5. Step 5: Solve for x
    x = 69,695.13/270.02
  6. Step 6: Final answer
    x = 258.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.