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Finding the Fourth Proportional to 379.49, 565.30 and 368.01

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Solution

The fourth proportional to 379.49, 565.30 and 368.01 is: 548.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.49 : 565.30 = 368.01 : x
  2. Step 2: Convert to fraction form
    379.49/565.30 = 368.01/x
  3. Step 3: Cross multiply
    379.49x = 565.30 × 368.01
  4. Step 4: Simplify right side
    379.49x = 208,038.74
  5. Step 5: Solve for x
    x = 208,038.74/379.49
  6. Step 6: Final answer
    x = 548.21

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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.