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Finding the Fourth Proportional to 153.54, 228.83 and 148.34

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Solution

The fourth proportional to 153.54, 228.83 and 148.34 is: 221.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.54 : 228.83 = 148.34 : x
  2. Step 2: Convert to fraction form
    153.54/228.83 = 148.34/x
  3. Step 3: Cross multiply
    153.54x = 228.83 × 148.34
  4. Step 4: Simplify right side
    153.54x = 33,943.90
  5. Step 5: Solve for x
    x = 33,943.90/153.54
  6. Step 6: Final answer
    x = 221.08

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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.