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Finding the Fourth Proportional to 145.36, 216.76 and 135.45

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Solution

The fourth proportional to 145.36, 216.76 and 135.45 is: 201.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.36 : 216.76 = 135.45 : x
  2. Step 2: Convert to fraction form
    145.36/216.76 = 135.45/x
  3. Step 3: Cross multiply
    145.36x = 216.76 × 135.45
  4. Step 4: Simplify right side
    145.36x = 29,360.14
  5. Step 5: Solve for x
    x = 29,360.14/145.36
  6. Step 6: Final answer
    x = 201.98

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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.