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Finding the Fourth Proportional to 58.19, 80.09 and 50.42

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Solution

The fourth proportional to 58.19, 80.09 and 50.42 is: 69.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.19 : 80.09 = 50.42 : x
  2. Step 2: Convert to fraction form
    58.19/80.09 = 50.42/x
  3. Step 3: Cross multiply
    58.19x = 80.09 × 50.42
  4. Step 4: Simplify right side
    58.19x = 4,038.27
  5. Step 5: Solve for x
    x = 4,038.27/58.19
  6. Step 6: Final answer
    x = 69.40

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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.