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Finding the Fourth Proportional to 158.70, 218.98 and 89.70

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Solution

The fourth proportional to 158.70, 218.98 and 89.70 is: 123.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.70 : 218.98 = 89.70 : x
  2. Step 2: Convert to fraction form
    158.70/218.98 = 89.70/x
  3. Step 3: Cross multiply
    158.70x = 218.98 × 89.70
  4. Step 4: Simplify right side
    158.70x = 19,642.51
  5. Step 5: Solve for x
    x = 19,642.51/158.70
  6. Step 6: Final answer
    x = 123.77

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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.