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Finding the Fourth Proportional to 340.08, 507.65 and 299.07

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Solution

The fourth proportional to 340.08, 507.65 and 299.07 is: 446.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.08 : 507.65 = 299.07 : x
  2. Step 2: Convert to fraction form
    340.08/507.65 = 299.07/x
  3. Step 3: Cross multiply
    340.08x = 507.65 × 299.07
  4. Step 4: Simplify right side
    340.08x = 151,822.89
  5. Step 5: Solve for x
    x = 151,822.89/340.08
  6. Step 6: Final answer
    x = 446.43

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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.