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Finding the Fourth Proportional to 265.94, 398.53 and 128.98

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Solution

The fourth proportional to 265.94, 398.53 and 128.98 is: 193.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.94 : 398.53 = 128.98 : x
  2. Step 2: Convert to fraction form
    265.94/398.53 = 128.98/x
  3. Step 3: Cross multiply
    265.94x = 398.53 × 128.98
  4. Step 4: Simplify right side
    265.94x = 51,402.40
  5. Step 5: Solve for x
    x = 51,402.40/265.94
  6. Step 6: Final answer
    x = 193.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.