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Finding the Fourth Proportional to 159.04, 236.96 and 148

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Solution

The fourth proportional to 159.04, 236.96 and 148 is: 220.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.04 : 236.96 = 148 : x
  2. Step 2: Convert to fraction form
    159.04/236.96 = 148/x
  3. Step 3: Cross multiply
    159.04x = 236.96 × 148
  4. Step 4: Simplify right side
    159.04x = 35,070.08
  5. Step 5: Solve for x
    x = 35,070.08/159.04
  6. Step 6: Final answer
    x = 220.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.