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Finding the Fourth Proportional to 159.04, 238.29 and 90.64

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Solution

The fourth proportional to 159.04, 238.29 and 90.64 is: 135.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.04 : 238.29 = 90.64 : x
  2. Step 2: Convert to fraction form
    159.04/238.29 = 90.64/x
  3. Step 3: Cross multiply
    159.04x = 238.29 × 90.64
  4. Step 4: Simplify right side
    159.04x = 21,598.61
  5. Step 5: Solve for x
    x = 21,598.61/159.04
  6. Step 6: Final answer
    x = 135.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.