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Finding the Fourth Proportional to 340.48, 510.73 and 322.71

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Solution

The fourth proportional to 340.48, 510.73 and 322.71 is: 484.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.48 : 510.73 = 322.71 : x
  2. Step 2: Convert to fraction form
    340.48/510.73 = 322.71/x
  3. Step 3: Cross multiply
    340.48x = 510.73 × 322.71
  4. Step 4: Simplify right side
    340.48x = 164,817.68
  5. Step 5: Solve for x
    x = 164,817.68/340.48
  6. Step 6: Final answer
    x = 484.07

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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.