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Finding the Fourth Proportional to 518.40, 777.42 and 210.16

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Solution

The fourth proportional to 518.40, 777.42 and 210.16 is: 315.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.40 : 777.42 = 210.16 : x
  2. Step 2: Convert to fraction form
    518.40/777.42 = 210.16/x
  3. Step 3: Cross multiply
    518.40x = 777.42 × 210.16
  4. Step 4: Simplify right side
    518.40x = 163,382.59
  5. Step 5: Solve for x
    x = 163,382.59/518.40
  6. Step 6: Final answer
    x = 315.17

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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.