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Finding the Fourth Proportional to 160.84, 242.28 and 144.81

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Solution

The fourth proportional to 160.84, 242.28 and 144.81 is: 218.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.84 : 242.28 = 144.81 : x
  2. Step 2: Convert to fraction form
    160.84/242.28 = 144.81/x
  3. Step 3: Cross multiply
    160.84x = 242.28 × 144.81
  4. Step 4: Simplify right side
    160.84x = 35,085.04
  5. Step 5: Solve for x
    x = 35,085.04/160.84
  6. Step 6: Final answer
    x = 218.14

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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.