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Finding the Fourth Proportional to 342.36, 510.80 and 316.53

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Solution

The fourth proportional to 342.36, 510.80 and 316.53 is: 472.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.36 : 510.80 = 316.53 : x
  2. Step 2: Convert to fraction form
    342.36/510.80 = 316.53/x
  3. Step 3: Cross multiply
    342.36x = 510.80 × 316.53
  4. Step 4: Simplify right side
    342.36x = 161,681.94
  5. Step 5: Solve for x
    x = 161,681.94/342.36
  6. Step 6: Final answer
    x = 472.26

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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.