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Finding the Fourth Proportional to 145.63, 200.88 and 90.35

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Solution

The fourth proportional to 145.63, 200.88 and 90.35 is: 124.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.63 : 200.88 = 90.35 : x
  2. Step 2: Convert to fraction form
    145.63/200.88 = 90.35/x
  3. Step 3: Cross multiply
    145.63x = 200.88 × 90.35
  4. Step 4: Simplify right side
    145.63x = 18,149.51
  5. Step 5: Solve for x
    x = 18,149.51/145.63
  6. Step 6: Final answer
    x = 124.63

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