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Finding the Fourth Proportional to 282.41, 389.72 and 165.93

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Solution

The fourth proportional to 282.41, 389.72 and 165.93 is: 228.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.41 : 389.72 = 165.93 : x
  2. Step 2: Convert to fraction form
    282.41/389.72 = 165.93/x
  3. Step 3: Cross multiply
    282.41x = 389.72 × 165.93
  4. Step 4: Simplify right side
    282.41x = 64,666.24
  5. Step 5: Solve for x
    x = 64,666.24/282.41
  6. Step 6: Final answer
    x = 228.98

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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.