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Finding the Fourth Proportional to 470.48, 649.26 and 305.01

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Solution

The fourth proportional to 470.48, 649.26 and 305.01 is: 420.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.48 : 649.26 = 305.01 : x
  2. Step 2: Convert to fraction form
    470.48/649.26 = 305.01/x
  3. Step 3: Cross multiply
    470.48x = 649.26 × 305.01
  4. Step 4: Simplify right side
    470.48x = 198,030.79
  5. Step 5: Solve for x
    x = 198,030.79/470.48
  6. Step 6: Final answer
    x = 420.92

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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.