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Finding the Fourth Proportional to 379.98, 569.91 and 106.01

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Solution

The fourth proportional to 379.98, 569.91 and 106.01 is: 159.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.98 : 569.91 = 106.01 : x
  2. Step 2: Convert to fraction form
    379.98/569.91 = 106.01/x
  3. Step 3: Cross multiply
    379.98x = 569.91 × 106.01
  4. Step 4: Simplify right side
    379.98x = 60,416.16
  5. Step 5: Solve for x
    x = 60,416.16/379.98
  6. Step 6: Final answer
    x = 159.00

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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.