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Finding the Fourth Proportional to 368.17, 506.93 and 347.87

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Solution

The fourth proportional to 368.17, 506.93 and 347.87 is: 478.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.17 : 506.93 = 347.87 : x
  2. Step 2: Convert to fraction form
    368.17/506.93 = 347.87/x
  3. Step 3: Cross multiply
    368.17x = 506.93 × 347.87
  4. Step 4: Simplify right side
    368.17x = 176,345.74
  5. Step 5: Solve for x
    x = 176,345.74/368.17
  6. Step 6: Final answer
    x = 478.98

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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.