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Finding the Fourth Proportional to 261.51, 390.77 and 179.70

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Solution

The fourth proportional to 261.51, 390.77 and 179.70 is: 268.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.51 : 390.77 = 179.70 : x
  2. Step 2: Convert to fraction form
    261.51/390.77 = 179.70/x
  3. Step 3: Cross multiply
    261.51x = 390.77 × 179.70
  4. Step 4: Simplify right side
    261.51x = 70,220.47
  5. Step 5: Solve for x
    x = 70,220.47/261.51
  6. Step 6: Final answer
    x = 268.52

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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.