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Finding the Fourth Proportional to 245.10, 366.87 and 172.07

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Solution

The fourth proportional to 245.10, 366.87 and 172.07 is: 257.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.10 : 366.87 = 172.07 : x
  2. Step 2: Convert to fraction form
    245.10/366.87 = 172.07/x
  3. Step 3: Cross multiply
    245.10x = 366.87 × 172.07
  4. Step 4: Simplify right side
    245.10x = 63,127.32
  5. Step 5: Solve for x
    x = 63,127.32/245.10
  6. Step 6: Final answer
    x = 257.56

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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.