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Finding the Fourth Proportional to 265.02, 397.61 and 128.08

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Solution

The fourth proportional to 265.02, 397.61 and 128.08 is: 192.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.02 : 397.61 = 128.08 : x
  2. Step 2: Convert to fraction form
    265.02/397.61 = 128.08/x
  3. Step 3: Cross multiply
    265.02x = 397.61 × 128.08
  4. Step 4: Simplify right side
    265.02x = 50,925.21
  5. Step 5: Solve for x
    x = 50,925.21/265.02
  6. Step 6: Final answer
    x = 192.16

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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.