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Finding the Fourth Proportional to 158.34, 219.51 and 150.01

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Solution

The fourth proportional to 158.34, 219.51 and 150.01 is: 207.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.34 : 219.51 = 150.01 : x
  2. Step 2: Convert to fraction form
    158.34/219.51 = 150.01/x
  3. Step 3: Cross multiply
    158.34x = 219.51 × 150.01
  4. Step 4: Simplify right side
    158.34x = 32,928.15
  5. Step 5: Solve for x
    x = 32,928.15/158.34
  6. Step 6: Final answer
    x = 207.96

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.