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Finding the Fourth Proportional to 340.30, 469.83 and 307.09

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Solution

The fourth proportional to 340.30, 469.83 and 307.09 is: 423.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.30 : 469.83 = 307.09 : x
  2. Step 2: Convert to fraction form
    340.30/469.83 = 307.09/x
  3. Step 3: Cross multiply
    340.30x = 469.83 × 307.09
  4. Step 4: Simplify right side
    340.30x = 144,280.09
  5. Step 5: Solve for x
    x = 144,280.09/340.30
  6. Step 6: Final answer
    x = 423.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.