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Finding the Fourth Proportional to 341.59, 509.90 and 300.59

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Solution

The fourth proportional to 341.59, 509.90 and 300.59 is: 448.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.59 : 509.90 = 300.59 : x
  2. Step 2: Convert to fraction form
    341.59/509.90 = 300.59/x
  3. Step 3: Cross multiply
    341.59x = 509.90 × 300.59
  4. Step 4: Simplify right side
    341.59x = 153,267.27
  5. Step 5: Solve for x
    x = 153,267.27/341.59
  6. Step 6: Final answer
    x = 448.68

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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.