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Finding the Fourth Proportional to 373.48, 514.93 and 278.98

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Solution

The fourth proportional to 373.48, 514.93 and 278.98 is: 384.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.48 : 514.93 = 278.98 : x
  2. Step 2: Convert to fraction form
    373.48/514.93 = 278.98/x
  3. Step 3: Cross multiply
    373.48x = 514.93 × 278.98
  4. Step 4: Simplify right side
    373.48x = 143,655.17
  5. Step 5: Solve for x
    x = 143,655.17/373.48
  6. Step 6: Final answer
    x = 384.64

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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.