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Finding the Fourth Proportional to 158.94, 219.47 and 146.66

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Solution

The fourth proportional to 158.94, 219.47 and 146.66 is: 202.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.94 : 219.47 = 146.66 : x
  2. Step 2: Convert to fraction form
    158.94/219.47 = 146.66/x
  3. Step 3: Cross multiply
    158.94x = 219.47 × 146.66
  4. Step 4: Simplify right side
    158.94x = 32,185.64
  5. Step 5: Solve for x
    x = 32,185.64/158.94
  6. Step 6: Final answer
    x = 202.50

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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.