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Finding the Fourth Proportional to 340.19, 510.26 and 155.27

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Solution

The fourth proportional to 340.19, 510.26 and 155.27 is: 232.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.19 : 510.26 = 155.27 : x
  2. Step 2: Convert to fraction form
    340.19/510.26 = 155.27/x
  3. Step 3: Cross multiply
    340.19x = 510.26 × 155.27
  4. Step 4: Simplify right side
    340.19x = 79,224.74
  5. Step 5: Solve for x
    x = 79,224.74/340.19
  6. Step 6: Final answer
    x = 232.89

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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.