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Finding the Fourth Proportional to 369.95, 510.53 and 214.70

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Solution

The fourth proportional to 369.95, 510.53 and 214.70 is: 296.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.95 : 510.53 = 214.70 : x
  2. Step 2: Convert to fraction form
    369.95/510.53 = 214.70/x
  3. Step 3: Cross multiply
    369.95x = 510.53 × 214.70
  4. Step 4: Simplify right side
    369.95x = 109,607.16
  5. Step 5: Solve for x
    x = 109,607.16/369.95
  6. Step 6: Final answer
    x = 296.28

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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.