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Finding the Fourth Proportional to 407.13, 609.95 and 172.34

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Solution

The fourth proportional to 407.13, 609.95 and 172.34 is: 258.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.13 : 609.95 = 172.34 : x
  2. Step 2: Convert to fraction form
    407.13/609.95 = 172.34/x
  3. Step 3: Cross multiply
    407.13x = 609.95 × 172.34
  4. Step 4: Simplify right side
    407.13x = 105,118.78
  5. Step 5: Solve for x
    x = 105,118.78/407.13
  6. Step 6: Final answer
    x = 258.19

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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.