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Finding the Fourth Proportional to 341.77, 511.93 and 283.86

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Solution

The fourth proportional to 341.77, 511.93 and 283.86 is: 425.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.77 : 511.93 = 283.86 : x
  2. Step 2: Convert to fraction form
    341.77/511.93 = 283.86/x
  3. Step 3: Cross multiply
    341.77x = 511.93 × 283.86
  4. Step 4: Simplify right side
    341.77x = 145,316.45
  5. Step 5: Solve for x
    x = 145,316.45/341.77
  6. Step 6: Final answer
    x = 425.19

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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.