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Finding the Fourth Proportional to 340.35, 511.01 and 313.19

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Solution

The fourth proportional to 340.35, 511.01 and 313.19 is: 470.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.35 : 511.01 = 313.19 : x
  2. Step 2: Convert to fraction form
    340.35/511.01 = 313.19/x
  3. Step 3: Cross multiply
    340.35x = 511.01 × 313.19
  4. Step 4: Simplify right side
    340.35x = 160,039.10
  5. Step 5: Solve for x
    x = 160,039.10/340.35
  6. Step 6: Final answer
    x = 470.22

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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.