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Finding the Fourth Proportional to 387.51, 578.70 and 366.45

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Solution

The fourth proportional to 387.51, 578.70 and 366.45 is: 547.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.51 : 578.70 = 366.45 : x
  2. Step 2: Convert to fraction form
    387.51/578.70 = 366.45/x
  3. Step 3: Cross multiply
    387.51x = 578.70 × 366.45
  4. Step 4: Simplify right side
    387.51x = 212,064.62
  5. Step 5: Solve for x
    x = 212,064.62/387.51
  6. Step 6: Final answer
    x = 547.25

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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.