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Finding the Fourth Proportional to 145.02, 199.62 and 105.63

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Solution

The fourth proportional to 145.02, 199.62 and 105.63 is: 145.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.02 : 199.62 = 105.63 : x
  2. Step 2: Convert to fraction form
    145.02/199.62 = 105.63/x
  3. Step 3: Cross multiply
    145.02x = 199.62 × 105.63
  4. Step 4: Simplify right side
    145.02x = 21,085.86
  5. Step 5: Solve for x
    x = 21,085.86/145.02
  6. Step 6: Final answer
    x = 145.40

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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.