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Finding the Fourth Proportional to 369.84, 510.62 and 285.66

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Solution

The fourth proportional to 369.84, 510.62 and 285.66 is: 394.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.84 : 510.62 = 285.66 : x
  2. Step 2: Convert to fraction form
    369.84/510.62 = 285.66/x
  3. Step 3: Cross multiply
    369.84x = 510.62 × 285.66
  4. Step 4: Simplify right side
    369.84x = 145,863.71
  5. Step 5: Solve for x
    x = 145,863.71/369.84
  6. Step 6: Final answer
    x = 394.40

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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.