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Finding the Fourth Proportional to 426.65, 639.81 and 152.66

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Solution

The fourth proportional to 426.65, 639.81 and 152.66 is: 228.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.65 : 639.81 = 152.66 : x
  2. Step 2: Convert to fraction form
    426.65/639.81 = 152.66/x
  3. Step 3: Cross multiply
    426.65x = 639.81 × 152.66
  4. Step 4: Simplify right side
    426.65x = 97,674.99
  5. Step 5: Solve for x
    x = 97,674.99/426.65
  6. Step 6: Final answer
    x = 228.94

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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.