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Finding the Fourth Proportional to 151.04, 208.54 and 116.01

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Solution

The fourth proportional to 151.04, 208.54 and 116.01 is: 160.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.04 : 208.54 = 116.01 : x
  2. Step 2: Convert to fraction form
    151.04/208.54 = 116.01/x
  3. Step 3: Cross multiply
    151.04x = 208.54 × 116.01
  4. Step 4: Simplify right side
    151.04x = 24,192.66
  5. Step 5: Solve for x
    x = 24,192.66/151.04
  6. Step 6: Final answer
    x = 160.17

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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.