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Finding the Fourth Proportional to 130.19, 177.30 and 128.67

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Solution

The fourth proportional to 130.19, 177.30 and 128.67 is: 175.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.19 : 177.30 = 128.67 : x
  2. Step 2: Convert to fraction form
    130.19/177.30 = 128.67/x
  3. Step 3: Cross multiply
    130.19x = 177.30 × 128.67
  4. Step 4: Simplify right side
    130.19x = 22,813.19
  5. Step 5: Solve for x
    x = 22,813.19/130.19
  6. Step 6: Final answer
    x = 175.24

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.