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Finding the Fourth Proportional to 270.79, 405.93 and 172.99

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Solution

The fourth proportional to 270.79, 405.93 and 172.99 is: 259.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.79 : 405.93 = 172.99 : x
  2. Step 2: Convert to fraction form
    270.79/405.93 = 172.99/x
  3. Step 3: Cross multiply
    270.79x = 405.93 × 172.99
  4. Step 4: Simplify right side
    270.79x = 70,221.83
  5. Step 5: Solve for x
    x = 70,221.83/270.79
  6. Step 6: Final answer
    x = 259.32

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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.