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Finding the Fourth Proportional to 465.19, 697.90 and 172.90

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Solution

The fourth proportional to 465.19, 697.90 and 172.90 is: 259.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.19 : 697.90 = 172.90 : x
  2. Step 2: Convert to fraction form
    465.19/697.90 = 172.90/x
  3. Step 3: Cross multiply
    465.19x = 697.90 × 172.90
  4. Step 4: Simplify right side
    465.19x = 120,666.48
  5. Step 5: Solve for x
    x = 120,666.48/465.19
  6. Step 6: Final answer
    x = 259.39

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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.