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Finding the Fourth Proportional to 115.10, 172.74 and 42.98

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Solution

The fourth proportional to 115.10, 172.74 and 42.98 is: 64.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.10 : 172.74 = 42.98 : x
  2. Step 2: Convert to fraction form
    115.10/172.74 = 42.98/x
  3. Step 3: Cross multiply
    115.10x = 172.74 × 42.98
  4. Step 4: Simplify right side
    115.10x = 7,424.37
  5. Step 5: Solve for x
    x = 7,424.37/115.10
  6. Step 6: Final answer
    x = 64.50

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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.