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Finding the Fourth Proportional to 417.21, 575.78 and 242.61

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Solution

The fourth proportional to 417.21, 575.78 and 242.61 is: 334.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.21 : 575.78 = 242.61 : x
  2. Step 2: Convert to fraction form
    417.21/575.78 = 242.61/x
  3. Step 3: Cross multiply
    417.21x = 575.78 × 242.61
  4. Step 4: Simplify right side
    417.21x = 139,688.77
  5. Step 5: Solve for x
    x = 139,688.77/417.21
  6. Step 6: Final answer
    x = 334.82

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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.