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Finding the Fourth Proportional to 282.21, 417.55 and 281.40

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Solution

The fourth proportional to 282.21, 417.55 and 281.40 is: 416.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.21 : 417.55 = 281.40 : x
  2. Step 2: Convert to fraction form
    282.21/417.55 = 281.40/x
  3. Step 3: Cross multiply
    282.21x = 417.55 × 281.40
  4. Step 4: Simplify right side
    282.21x = 117,498.57
  5. Step 5: Solve for x
    x = 117,498.57/282.21
  6. Step 6: Final answer
    x = 416.35

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.