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Finding the Fourth Proportional to 145.68, 216.81 and 145.23

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Solution

The fourth proportional to 145.68, 216.81 and 145.23 is: 216.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.68 : 216.81 = 145.23 : x
  2. Step 2: Convert to fraction form
    145.68/216.81 = 145.23/x
  3. Step 3: Cross multiply
    145.68x = 216.81 × 145.23
  4. Step 4: Simplify right side
    145.68x = 31,487.32
  5. Step 5: Solve for x
    x = 31,487.32/145.68
  6. Step 6: Final answer
    x = 216.14

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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.