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Finding the Fourth Proportional to 406.02, 608.55 and 358.02

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Solution

The fourth proportional to 406.02, 608.55 and 358.02 is: 536.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.02 : 608.55 = 358.02 : x
  2. Step 2: Convert to fraction form
    406.02/608.55 = 358.02/x
  3. Step 3: Cross multiply
    406.02x = 608.55 × 358.02
  4. Step 4: Simplify right side
    406.02x = 217,873.07
  5. Step 5: Solve for x
    x = 217,873.07/406.02
  6. Step 6: Final answer
    x = 536.61

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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.