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Finding the Fourth Proportional to 145.35, 200.40 and 110.25

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Solution

The fourth proportional to 145.35, 200.40 and 110.25 is: 152.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.35 : 200.40 = 110.25 : x
  2. Step 2: Convert to fraction form
    145.35/200.40 = 110.25/x
  3. Step 3: Cross multiply
    145.35x = 200.40 × 110.25
  4. Step 4: Simplify right side
    145.35x = 22,094.10
  5. Step 5: Solve for x
    x = 22,094.10/145.35
  6. Step 6: Final answer
    x = 152.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.