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Finding the Fourth Proportional to 158.19, 216.42 and 157.51

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Solution

The fourth proportional to 158.19, 216.42 and 157.51 is: 215.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.19 : 216.42 = 157.51 : x
  2. Step 2: Convert to fraction form
    158.19/216.42 = 157.51/x
  3. Step 3: Cross multiply
    158.19x = 216.42 × 157.51
  4. Step 4: Simplify right side
    158.19x = 34,088.31
  5. Step 5: Solve for x
    x = 34,088.31/158.19
  6. Step 6: Final answer
    x = 215.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.