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Finding the Fourth Proportional to 150.15, 205.06 and 148.53

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Solution

The fourth proportional to 150.15, 205.06 and 148.53 is: 202.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.15 : 205.06 = 148.53 : x
  2. Step 2: Convert to fraction form
    150.15/205.06 = 148.53/x
  3. Step 3: Cross multiply
    150.15x = 205.06 × 148.53
  4. Step 4: Simplify right side
    150.15x = 30,457.19
  5. Step 5: Solve for x
    x = 30,457.19/150.15
  6. Step 6: Final answer
    x = 202.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.