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Finding the Fourth Proportional to 341.16, 509.16 and 304.68

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Solution

The fourth proportional to 341.16, 509.16 and 304.68 is: 454.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.16 : 509.16 = 304.68 : x
  2. Step 2: Convert to fraction form
    341.16/509.16 = 304.68/x
  3. Step 3: Cross multiply
    341.16x = 509.16 × 304.68
  4. Step 4: Simplify right side
    341.16x = 155,130.87
  5. Step 5: Solve for x
    x = 155,130.87/341.16
  6. Step 6: Final answer
    x = 454.72

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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.