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Finding the Fourth Proportional to 340.81, 509.69 and 302.54

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Solution

The fourth proportional to 340.81, 509.69 and 302.54 is: 452.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.81 : 509.69 = 302.54 : x
  2. Step 2: Convert to fraction form
    340.81/509.69 = 302.54/x
  3. Step 3: Cross multiply
    340.81x = 509.69 × 302.54
  4. Step 4: Simplify right side
    340.81x = 154,199.82
  5. Step 5: Solve for x
    x = 154,199.82/340.81
  6. Step 6: Final answer
    x = 452.45

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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.