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Finding the Fourth Proportional to 477.40, 716.11 and 165.07

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Solution

The fourth proportional to 477.40, 716.11 and 165.07 is: 247.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.40 : 716.11 = 165.07 : x
  2. Step 2: Convert to fraction form
    477.40/716.11 = 165.07/x
  3. Step 3: Cross multiply
    477.40x = 716.11 × 165.07
  4. Step 4: Simplify right side
    477.40x = 118,203.87
  5. Step 5: Solve for x
    x = 118,203.87/477.40
  6. Step 6: Final answer
    x = 247.60

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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.