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Finding the Fourth Proportional to 404.77, 558.63 and 230.14

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Solution

The fourth proportional to 404.77, 558.63 and 230.14 is: 317.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.77 : 558.63 = 230.14 : x
  2. Step 2: Convert to fraction form
    404.77/558.63 = 230.14/x
  3. Step 3: Cross multiply
    404.77x = 558.63 × 230.14
  4. Step 4: Simplify right side
    404.77x = 128,563.11
  5. Step 5: Solve for x
    x = 128,563.11/404.77
  6. Step 6: Final answer
    x = 317.62

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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.