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Finding the Fourth Proportional to 434.51, 651.79 and 138.09

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Solution

The fourth proportional to 434.51, 651.79 and 138.09 is: 207.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.51 : 651.79 = 138.09 : x
  2. Step 2: Convert to fraction form
    434.51/651.79 = 138.09/x
  3. Step 3: Cross multiply
    434.51x = 651.79 × 138.09
  4. Step 4: Simplify right side
    434.51x = 90,002.77
  5. Step 5: Solve for x
    x = 90,002.77/434.51
  6. Step 6: Final answer
    x = 207.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.