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Finding the Fourth Proportional to 269.95, 405.60 and 172.50

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Solution

The fourth proportional to 269.95, 405.60 and 172.50 is: 259.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.95 : 405.60 = 172.50 : x
  2. Step 2: Convert to fraction form
    269.95/405.60 = 172.50/x
  3. Step 3: Cross multiply
    269.95x = 405.60 × 172.50
  4. Step 4: Simplify right side
    269.95x = 69,966
  5. Step 5: Solve for x
    x = 69,966/269.95
  6. Step 6: Final answer
    x = 259.18

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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.