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Finding the Fourth Proportional to 378.47, 569.75 and 271.01

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Solution

The fourth proportional to 378.47, 569.75 and 271.01 is: 407.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.47 : 569.75 = 271.01 : x
  2. Step 2: Convert to fraction form
    378.47/569.75 = 271.01/x
  3. Step 3: Cross multiply
    378.47x = 569.75 × 271.01
  4. Step 4: Simplify right side
    378.47x = 154,403.74
  5. Step 5: Solve for x
    x = 154,403.74/378.47
  6. Step 6: Final answer
    x = 407.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.