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Finding the Fourth Proportional to 340.79, 510.36 and 291.75

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Solution

The fourth proportional to 340.79, 510.36 and 291.75 is: 436.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.79 : 510.36 = 291.75 : x
  2. Step 2: Convert to fraction form
    340.79/510.36 = 291.75/x
  3. Step 3: Cross multiply
    340.79x = 510.36 × 291.75
  4. Step 4: Simplify right side
    340.79x = 148,897.53
  5. Step 5: Solve for x
    x = 148,897.53/340.79
  6. Step 6: Final answer
    x = 436.93

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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.