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Finding the Fourth Proportional to 153.19, 228.35 and 144.38

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Solution

The fourth proportional to 153.19, 228.35 and 144.38 is: 215.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.19 : 228.35 = 144.38 : x
  2. Step 2: Convert to fraction form
    153.19/228.35 = 144.38/x
  3. Step 3: Cross multiply
    153.19x = 228.35 × 144.38
  4. Step 4: Simplify right side
    153.19x = 32,970.10
  5. Step 5: Solve for x
    x = 32,970.10/153.19
  6. Step 6: Final answer
    x = 215.22

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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.