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Finding the Fourth Proportional to 153.15, 228.66 and 130.30

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Solution

The fourth proportional to 153.15, 228.66 and 130.30 is: 194.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.15 : 228.66 = 130.30 : x
  2. Step 2: Convert to fraction form
    153.15/228.66 = 130.30/x
  3. Step 3: Cross multiply
    153.15x = 228.66 × 130.30
  4. Step 4: Simplify right side
    153.15x = 29,794.40
  5. Step 5: Solve for x
    x = 29,794.40/153.15
  6. Step 6: Final answer
    x = 194.54

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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.