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Finding the Fourth Proportional to 145.47, 216.62 and 140.28

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Solution

The fourth proportional to 145.47, 216.62 and 140.28 is: 208.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.47 : 216.62 = 140.28 : x
  2. Step 2: Convert to fraction form
    145.47/216.62 = 140.28/x
  3. Step 3: Cross multiply
    145.47x = 216.62 × 140.28
  4. Step 4: Simplify right side
    145.47x = 30,386.75
  5. Step 5: Solve for x
    x = 30,386.75/145.47
  6. Step 6: Final answer
    x = 208.89

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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.