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Finding the Fourth Proportional to 555.16, 832.23 and 189.69

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Solution

The fourth proportional to 555.16, 832.23 and 189.69 is: 284.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.16 : 832.23 = 189.69 : x
  2. Step 2: Convert to fraction form
    555.16/832.23 = 189.69/x
  3. Step 3: Cross multiply
    555.16x = 832.23 × 189.69
  4. Step 4: Simplify right side
    555.16x = 157,865.71
  5. Step 5: Solve for x
    x = 157,865.71/555.16
  6. Step 6: Final answer
    x = 284.36

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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.