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Finding the Fourth Proportional to 526.97, 727.23 and 290.93

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Solution

The fourth proportional to 526.97, 727.23 and 290.93 is: 401.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.97 : 727.23 = 290.93 : x
  2. Step 2: Convert to fraction form
    526.97/727.23 = 290.93/x
  3. Step 3: Cross multiply
    526.97x = 727.23 × 290.93
  4. Step 4: Simplify right side
    526.97x = 211,573.02
  5. Step 5: Solve for x
    x = 211,573.02/526.97
  6. Step 6: Final answer
    x = 401.49

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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.