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Finding the Fourth Proportional to 523.36, 722.28 and 290.50

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Solution

The fourth proportional to 523.36, 722.28 and 290.50 is: 400.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.36 : 722.28 = 290.50 : x
  2. Step 2: Convert to fraction form
    523.36/722.28 = 290.50/x
  3. Step 3: Cross multiply
    523.36x = 722.28 × 290.50
  4. Step 4: Simplify right side
    523.36x = 209,822.34
  5. Step 5: Solve for x
    x = 209,822.34/523.36
  6. Step 6: Final answer
    x = 400.91

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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.