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Finding the Fourth Proportional to 651.81, 977.82 and 213.16

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Solution

The fourth proportional to 651.81, 977.82 and 213.16 is: 319.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.81 : 977.82 = 213.16 : x
  2. Step 2: Convert to fraction form
    651.81/977.82 = 213.16/x
  3. Step 3: Cross multiply
    651.81x = 977.82 × 213.16
  4. Step 4: Simplify right side
    651.81x = 208,432.11
  5. Step 5: Solve for x
    x = 208,432.11/651.81
  6. Step 6: Final answer
    x = 319.77

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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.