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Finding the Fourth Proportional to 130.07, 193.75 and 128.48

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Solution

The fourth proportional to 130.07, 193.75 and 128.48 is: 191.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.07 : 193.75 = 128.48 : x
  2. Step 2: Convert to fraction form
    130.07/193.75 = 128.48/x
  3. Step 3: Cross multiply
    130.07x = 193.75 × 128.48
  4. Step 4: Simplify right side
    130.07x = 24,891.71
  5. Step 5: Solve for x
    x = 24,891.71/130.07
  6. Step 6: Final answer
    x = 191.37

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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.