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Finding the Fourth Proportional to 661.77, 993.02 and 251.06

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Solution

The fourth proportional to 661.77, 993.02 and 251.06 is: 376.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.77 : 993.02 = 251.06 : x
  2. Step 2: Convert to fraction form
    661.77/993.02 = 251.06/x
  3. Step 3: Cross multiply
    661.77x = 993.02 × 251.06
  4. Step 4: Simplify right side
    661.77x = 249,301.38
  5. Step 5: Solve for x
    x = 249,301.38/661.77
  6. Step 6: Final answer
    x = 376.72

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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.