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Finding the Fourth Proportional to 340.81, 510.65 and 328.01

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Solution

The fourth proportional to 340.81, 510.65 and 328.01 is: 491.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.81 : 510.65 = 328.01 : x
  2. Step 2: Convert to fraction form
    340.81/510.65 = 328.01/x
  3. Step 3: Cross multiply
    340.81x = 510.65 × 328.01
  4. Step 4: Simplify right side
    340.81x = 167,496.57
  5. Step 5: Solve for x
    x = 167,496.57/340.81
  6. Step 6: Final answer
    x = 491.47

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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.