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Finding the Fourth Proportional to 172.30, 257.30 and 145.24

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Solution

The fourth proportional to 172.30, 257.30 and 145.24 is: 216.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.30 : 257.30 = 145.24 : x
  2. Step 2: Convert to fraction form
    172.30/257.30 = 145.24/x
  3. Step 3: Cross multiply
    172.30x = 257.30 × 145.24
  4. Step 4: Simplify right side
    172.30x = 37,370.25
  5. Step 5: Solve for x
    x = 37,370.25/172.30
  6. Step 6: Final answer
    x = 216.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.