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Finding the Fourth Proportional to 608.96, 840.30 and 360.30

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Solution

The fourth proportional to 608.96, 840.30 and 360.30 is: 497.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.96 : 840.30 = 360.30 : x
  2. Step 2: Convert to fraction form
    608.96/840.30 = 360.30/x
  3. Step 3: Cross multiply
    608.96x = 840.30 × 360.30
  4. Step 4: Simplify right side
    608.96x = 302,760.09
  5. Step 5: Solve for x
    x = 302,760.09/608.96
  6. Step 6: Final answer
    x = 497.18

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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.