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Finding the Fourth Proportional to 153.19, 228.32 and 146.41

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Solution

The fourth proportional to 153.19, 228.32 and 146.41 is: 218.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.19 : 228.32 = 146.41 : x
  2. Step 2: Convert to fraction form
    153.19/228.32 = 146.41/x
  3. Step 3: Cross multiply
    153.19x = 228.32 × 146.41
  4. Step 4: Simplify right side
    153.19x = 33,427.58
  5. Step 5: Solve for x
    x = 33,427.58/153.19
  6. Step 6: Final answer
    x = 218.21

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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.