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Finding the Fourth Proportional to 389.57, 583.57 and 181.04

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Solution

The fourth proportional to 389.57, 583.57 and 181.04 is: 271.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.57 : 583.57 = 181.04 : x
  2. Step 2: Convert to fraction form
    389.57/583.57 = 181.04/x
  3. Step 3: Cross multiply
    389.57x = 583.57 × 181.04
  4. Step 4: Simplify right side
    389.57x = 105,649.51
  5. Step 5: Solve for x
    x = 105,649.51/389.57
  6. Step 6: Final answer
    x = 271.20

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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.