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Finding the Fourth Proportional to 145.06, 216.34 and 123.53

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Solution

The fourth proportional to 145.06, 216.34 and 123.53 is: 184.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.06 : 216.34 = 123.53 : x
  2. Step 2: Convert to fraction form
    145.06/216.34 = 123.53/x
  3. Step 3: Cross multiply
    145.06x = 216.34 × 123.53
  4. Step 4: Simplify right side
    145.06x = 26,724.48
  5. Step 5: Solve for x
    x = 26,724.48/145.06
  6. Step 6: Final answer
    x = 184.23

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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.