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Finding the Fourth Proportional to 152.57, 210.49 and 105.98

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Solution

The fourth proportional to 152.57, 210.49 and 105.98 is: 146.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.57 : 210.49 = 105.98 : x
  2. Step 2: Convert to fraction form
    152.57/210.49 = 105.98/x
  3. Step 3: Cross multiply
    152.57x = 210.49 × 105.98
  4. Step 4: Simplify right side
    152.57x = 22,308.12
  5. Step 5: Solve for x
    x = 22,308.12/152.57
  6. Step 6: Final answer
    x = 146.21

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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.