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Finding the Fourth Proportional to 277.47, 417.74 and 243.45

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Solution

The fourth proportional to 277.47, 417.74 and 243.45 is: 366.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.47 : 417.74 = 243.45 : x
  2. Step 2: Convert to fraction form
    277.47/417.74 = 243.45/x
  3. Step 3: Cross multiply
    277.47x = 417.74 × 243.45
  4. Step 4: Simplify right side
    277.47x = 101,697.59
  5. Step 5: Solve for x
    x = 101,697.59/277.47
  6. Step 6: Final answer
    x = 366.52

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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.