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Finding the Fourth Proportional to 164.17, 247.25 and 145.15

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Solution

The fourth proportional to 164.17, 247.25 and 145.15 is: 218.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.17 : 247.25 = 145.15 : x
  2. Step 2: Convert to fraction form
    164.17/247.25 = 145.15/x
  3. Step 3: Cross multiply
    164.17x = 247.25 × 145.15
  4. Step 4: Simplify right side
    164.17x = 35,888.34
  5. Step 5: Solve for x
    x = 35,888.34/164.17
  6. Step 6: Final answer
    x = 218.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.