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Finding the Fourth Proportional to 417.21, 575.73 and 242.58

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Solution

The fourth proportional to 417.21, 575.73 and 242.58 is: 334.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.21 : 575.73 = 242.58 : x
  2. Step 2: Convert to fraction form
    417.21/575.73 = 242.58/x
  3. Step 3: Cross multiply
    417.21x = 575.73 × 242.58
  4. Step 4: Simplify right side
    417.21x = 139,660.58
  5. Step 5: Solve for x
    x = 139,660.58/417.21
  6. Step 6: Final answer
    x = 334.75

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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.