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Finding the Fourth Proportional to 369.30, 510.93 and 313.86

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Solution

The fourth proportional to 369.30, 510.93 and 313.86 is: 434.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.30 : 510.93 = 313.86 : x
  2. Step 2: Convert to fraction form
    369.30/510.93 = 313.86/x
  3. Step 3: Cross multiply
    369.30x = 510.93 × 313.86
  4. Step 4: Simplify right side
    369.30x = 160,360.49
  5. Step 5: Solve for x
    x = 160,360.49/369.30
  6. Step 6: Final answer
    x = 434.23

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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.