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Finding the Fourth Proportional to 470.76, 649.64 and 260.93

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Solution

The fourth proportional to 470.76, 649.64 and 260.93 is: 360.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.76 : 649.64 = 260.93 : x
  2. Step 2: Convert to fraction form
    470.76/649.64 = 260.93/x
  3. Step 3: Cross multiply
    470.76x = 649.64 × 260.93
  4. Step 4: Simplify right side
    470.76x = 169,512.84
  5. Step 5: Solve for x
    x = 169,512.84/470.76
  6. Step 6: Final answer
    x = 360.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.