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Finding the Fourth Proportional to 250.02, 345.06 and 162.95

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Solution

The fourth proportional to 250.02, 345.06 and 162.95 is: 224.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.02 : 345.06 = 162.95 : x
  2. Step 2: Convert to fraction form
    250.02/345.06 = 162.95/x
  3. Step 3: Cross multiply
    250.02x = 345.06 × 162.95
  4. Step 4: Simplify right side
    250.02x = 56,225.80
  5. Step 5: Solve for x
    x = 56,225.80/250.02
  6. Step 6: Final answer
    x = 224.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.