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Finding the Fourth Proportional to 570.89, 856.28 and 160.00

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Solution

The fourth proportional to 570.89, 856.28 and 160.00 is: 239.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.89 : 856.28 = 160.00 : x
  2. Step 2: Convert to fraction form
    570.89/856.28 = 160.00/x
  3. Step 3: Cross multiply
    570.89x = 856.28 × 160.00
  4. Step 4: Simplify right side
    570.89x = 137,005.69
  5. Step 5: Solve for x
    x = 137,005.69/570.89
  6. Step 6: Final answer
    x = 239.99

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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.