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Finding the Fourth Proportional to 340.23, 507.87 and 299.22

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Solution

The fourth proportional to 340.23, 507.87 and 299.22 is: 446.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.23 : 507.87 = 299.22 : x
  2. Step 2: Convert to fraction form
    340.23/507.87 = 299.22/x
  3. Step 3: Cross multiply
    340.23x = 507.87 × 299.22
  4. Step 4: Simplify right side
    340.23x = 151,967.89
  5. Step 5: Solve for x
    x = 151,967.89/340.23
  6. Step 6: Final answer
    x = 446.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.