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Finding the Fourth Proportional to 415.96, 623.12 and 358.18

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Solution

The fourth proportional to 415.96, 623.12 and 358.18 is: 536.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.96 : 623.12 = 358.18 : x
  2. Step 2: Convert to fraction form
    415.96/623.12 = 358.18/x
  3. Step 3: Cross multiply
    415.96x = 623.12 × 358.18
  4. Step 4: Simplify right side
    415.96x = 223,184.22
  5. Step 5: Solve for x
    x = 223,184.22/415.96
  6. Step 6: Final answer
    x = 536.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.