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Finding the Fourth Proportional to 290.50, 432.90 and 282.58

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Solution

The fourth proportional to 290.50, 432.90 and 282.58 is: 421.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.50 : 432.90 = 282.58 : x
  2. Step 2: Convert to fraction form
    290.50/432.90 = 282.58/x
  3. Step 3: Cross multiply
    290.50x = 432.90 × 282.58
  4. Step 4: Simplify right side
    290.50x = 122,325.30
  5. Step 5: Solve for x
    x = 122,325.30/290.50
  6. Step 6: Final answer
    x = 421.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.