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Finding the Fourth Proportional to 611.90, 918.22 and 265.23

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Solution

The fourth proportional to 611.90, 918.22 and 265.23 is: 398.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.90 : 918.22 = 265.23 : x
  2. Step 2: Convert to fraction form
    611.90/918.22 = 265.23/x
  3. Step 3: Cross multiply
    611.90x = 918.22 × 265.23
  4. Step 4: Simplify right side
    611.90x = 243,538.83
  5. Step 5: Solve for x
    x = 243,538.83/611.90
  6. Step 6: Final answer
    x = 398.01

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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.