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Finding the Fourth Proportional to 608.70, 840.18 and 360.06

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Solution

The fourth proportional to 608.70, 840.18 and 360.06 is: 496.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.70 : 840.18 = 360.06 : x
  2. Step 2: Convert to fraction form
    608.70/840.18 = 360.06/x
  3. Step 3: Cross multiply
    608.70x = 840.18 × 360.06
  4. Step 4: Simplify right side
    608.70x = 302,515.21
  5. Step 5: Solve for x
    x = 302,515.21/608.70
  6. Step 6: Final answer
    x = 496.99

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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.