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Finding the Fourth Proportional to 426.77, 589.05 and 261.08

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Solution

The fourth proportional to 426.77, 589.05 and 261.08 is: 360.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.77 : 589.05 = 261.08 : x
  2. Step 2: Convert to fraction form
    426.77/589.05 = 261.08/x
  3. Step 3: Cross multiply
    426.77x = 589.05 × 261.08
  4. Step 4: Simplify right side
    426.77x = 153,786.23
  5. Step 5: Solve for x
    x = 153,786.23/426.77
  6. Step 6: Final answer
    x = 360.35

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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.