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Finding the Fourth Proportional to 426.86, 589.42 and 302.66

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Solution

The fourth proportional to 426.86, 589.42 and 302.66 is: 417.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.86 : 589.42 = 302.66 : x
  2. Step 2: Convert to fraction form
    426.86/589.42 = 302.66/x
  3. Step 3: Cross multiply
    426.86x = 589.42 × 302.66
  4. Step 4: Simplify right side
    426.86x = 178,395.71
  5. Step 5: Solve for x
    x = 178,395.71/426.86
  6. Step 6: Final answer
    x = 417.92

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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.