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Finding the Fourth Proportional to 145.40, 216.49 and 144.60

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Solution

The fourth proportional to 145.40, 216.49 and 144.60 is: 215.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.40 : 216.49 = 144.60 : x
  2. Step 2: Convert to fraction form
    145.40/216.49 = 144.60/x
  3. Step 3: Cross multiply
    145.40x = 216.49 × 144.60
  4. Step 4: Simplify right side
    145.40x = 31,304.45
  5. Step 5: Solve for x
    x = 31,304.45/145.40
  6. Step 6: Final answer
    x = 215.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.